Note that, The Output voltage value of a voltage divider circuit is always less than the input voltage value.

Voltage Divider Rule(VDR):

Applying this rule can  also solve  simple circuits thoroughly, The main concept of this rule  is,

“The voltage is divided between two resistors (R) which are connected in series in direct ratio to their resistance”. Voltage divider involves two important parts they are the circuit and the equation.

The voltage divider rule is simple and most important of electronics circuit, which is used to change of large voltage into a small voltage. Using just an input voltage and two series resistor we can get output voltage.

Proved Voltage divider for following this circuit:

Ohm’s law implies that voltage 1 and voltage 2 ——The ohm’s law states that V=IR.

From the above equation, we can get the two voltages—

V1 (t) =R1i (t)…………… (1)
V2 (t) =R2i (t)…………… (2)

Applying kvl from this circuit,

−v(t)+v1(t)+v2(t)=0

   v(t)   =  v1(t)+v2(t)   ………..(3)

now we can put the value of V1 (t)and V2 (t) , then we get,

v(t)=R1i(t)+R2i(t)

v(t) =(R1+R2)i(t).

hence,

i (t) =v (t) /R1+R2……………. (4)

putting the value of 4 in 1 and 2 ,

V1 (t) ={R1.V(t)/R1+R2}.

V2 (t) = {R2.V(t)/R1+R2}.

This equation shows that the voltage is divided between two series resistors in direct proportion to their resistance.

This voltage divider rule can be designed with more than two resistors.

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Habib

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